533420348800 has 192 divisors, whose sum is σ = 1388181240000. Its totient is φ = 201976104960.

The previous prime is 533420348779. The next prime is 533420348801. The reversal of 533420348800 is 8843024335.

It is a super-3 number, since 3×533420348800³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533420348801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98432491 + ... + 98437909.

It is an arithmetic number, because the mean of its divisors is an integer number (7230110625).

Almost surely, 2^533420348800 is an apocalyptic number.

533420348800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533420348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694090620000).

533420348800 is an abundant number, since it is smaller than the sum of its proper divisors (854760891200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

533420348800 is a wasteful number, since it uses less digits than its factorization.

533420348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7081 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 533420348800 in words is "five hundred thirty-three billion, four hundred twenty million, three hundred forty-eight thousand, eight hundred".